First off impedance is not constant, except when the drivers are stationary. Minimum impedance refers to the lowest the impedance will dip at a given frequency throughout its range. Nominal impedance refers to the resisance (impedance) of the speaker at rest. Or at least the number (whether 4, 6 or 8) closest to the actual dc resistance at rest.
In your case, if the speaker has a 6 ohm nominal impedance, it should work fine on your receiver. The minimum impedance is typically only going to be reached at a certain frequency (usually pretty low). It will also be very brief. Any well made receiver should not have problems.
When "tossed around casually", as you put it, it refers to nominal.